Local QFTs can have extended structures such as boundaries and defects. They are interesting for several reasons. First, they describe real physical situations where boundaries and defects are ubiquitous. Second, from a more formal point of view, the defects contain a lot of useful information on the bulk theory, see for example [1]}, [2]}, [3]}, [4]}, [5]}.
A natural question is then how such non-local structures are modified under \(T\bar{T}\)  deformation? The goal of the current work is to initiate investigations into this direction.
